Nuclear-coulomb low-energy scattering parameters exactly solvable finite-range models

The nuclear-Coulomb low-energy scattering parameters of two charged strongly interacting particles are investigated on the basis of the P-matrix approach. Simple explicit expressions for the nuclear-Coulomb scattering length and effective range are obtained for the first time in terms of the residual P-matrix parameters. A number of exactly solvable finite-range models of strong interaction with hard core is considered on the basis of the obtained expressions, and the nuclear-Coulomb low-energy scattering parameters are found in an explicit form for the boundary condition model, the delta-shell potential with hard core, the Margenau model, and the square-well potential with hard core